## The quadratic equation x^2-2kx+(k-1)=0 has roots α and β such that α^2+β^2=4. (Solved:Sum and product of roots)

Question: The quadratic equation x^2-2kx+(k-1)=0 has roots α and β such that α^2+β^2=4. Without solving the equation, find the possible values of the real number…

## Given f(x) = e^(Kx)+x and f’0 =-8 . Find k (Solved:Differential calculus)

Question: Given f(x) = e^(Kx)+x and f’0 =-8 . Find k Answer: Thank you for sending your question! Given f(x)=e^(kx) +x  and f'(0)= -8 Let…

## (Solved Question)Function Operations | Real-World Profit Function

Question: Video games sold: x Revenue function: R(x) = 60x Cost function: C(x) = 12 + 7x Profit function: P(x) = Choices are:    67x+12,…

## Find all the ways you can use exactly 50 coins to make change for a \$1.00 bill.(I recommend starting with lot of pennies)

Find all the ways you can use exactly 50 coins to make a change for a dollar 1.00 bill. Solution:- Given that we can use…

## Two pipes can fill a tank in 76 minutes if both are turned on.If only one is used,it would take 27 minutes longer for the smaller pipe to fill

Two pipes can fill a tank in 76 minutes if both are turned on. If only one is used, it would take 27 minutes longer…

## The sum of two integers is 704 and the larger number is 11 more than 8 times the smaller number.Find the two integers.

The sum of two integers is 704 and the larger number is 11 more than 8 times the smaller number. Find the two integers. Detailed…

## A grocer wants to mix two kinds of coffee.One kind sells for \$1.45 per pound,and other sells for 2.20 Per pound. He wants to mix a total of 21 pounds and sell it for 1.70Per pound.

A grocer wants to mix two kinds of coffee. One kind sells for 1.45 per pound, and other sells for 2.20 per pound. He wants…

## 18,355 is invested,part at 13% and the rest at 7%.If the interest earned from the amount invested at 13% exceeds the interest earned from the amount invested at 7% by \$963.55

Question:18,355 is invested,part at 13% and the rest at 7%.If the interest earned from the amount invested at 13% exceeds the interest earned from the…

## Betty invested some money at 15% interest.Betty also invested \$237 more than 2 times than amount at 13%

Question: Betty invested some money at 15% interest. Betty also invested more than 2 times that amount at 13%. How much is invested at each…